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JEE Main & Advanced Physics Vectors Question Bank Multiplication of Vectors

  • question_answer
    If a vector \[\vec{A}\] is parallel to another vector \[\vec{B}\] then the resultant of the vector \[\vec{A}\times \vec{B}\] will be equal to                                                 [Pb. CET 1996]

    A)                 A            

    B)                 \[\vec{A}\]

    C)  Zero vector       

    D)  Zero

    Correct Answer: C

    Solution :

                        \[\overrightarrow{A}\times \overrightarrow{B}=AB\sin \theta \,\hat{n}\]                                 for parallel vectors \[\theta =0{}^\circ \] or \[180{}^\circ \], \[\sin \theta =0\]                                 \[\therefore \] \[\overrightarrow{A}\times \overrightarrow{B}=\hat{0}\]


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